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Finding the Third Proportional to 129,266,181 and 193,441,277.25

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Solution

The third proportional to 129,266,181 and 193,441,277.25 is: 289,476,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,266,181 : 193,441,277.25 = 193,441,277.25 : x
  2. Step 2: Convert to fraction form
    129,266,181/193,441,277.25 = 193,441,277.25/x
  3. Step 3: Cross multiply
    129,266,181x = 193,441,277.25 × 193,441,277.25
  4. Step 4: Simplify right side
    129,266,181x = 37,419,527,744,111,368
  5. Step 5: Solve for x
    x = 37,419,527,744,111,368/129,266,181
  6. Step 6: Final answer
    x = 289,476,547.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.